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Finding the Fourth Proportional to 7,321.78, 10,978.80 and 2,390.80

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Solution

The fourth proportional to 7,321.78, 10,978.80 and 2,390.80 is: 3,584.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,321.78 : 10,978.80 = 2,390.80 : x
  2. Step 2: Convert to fraction form
    7,321.78/10,978.80 = 2,390.80/x
  3. Step 3: Cross multiply
    7,321.78x = 10,978.80 × 2,390.80
  4. Step 4: Simplify right side
    7,321.78x = 26,248,115.04
  5. Step 5: Solve for x
    x = 26,248,115.04/7,321.78
  6. Step 6: Final answer
    x = 3,584.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.